The article is devoted to a Lagrange principle application to a problem of optimal recovery of a linear functional value on a solution of a linear integral equation. Problems of solving Fredholm integral equations of the first and second kind and the Abel integral equation are considered. A priori information on a solution is included in a statement of problems. The algorithms of optimal recovery of linear functionals on solutions are described.
Editor-in-Chief: Kabanikhin, Sergey I.
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Optimal recovery in problems of solving linear integral equations with a priori information
1 Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, Russia. Email: andrewbayev@newmail.ru
2 Department of Mathematics, Faculty of Physics, Moscow State University, Moscow, Russia. Email: yagola@yahoo.com
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 6, Pages 569–586, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.031, December 2007
Publication History:
- Received:
- 2007-04-25
- Published Online:
- 2007-12-04
Keywords: Optimal recovery; Fredholm integral equation of the first and second kind; Abel integral equation
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